Simulating Thiele's Equation and Collective Skyrmion Dynamics in Circuit Networks

Fuente: arXiv
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Main Authors: Yang, Huanhuan, Song, Lingling, Cao, Yunshan, Yan, Peng
Format: Preprint
Published: 2024
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author Yang, Huanhuan
Song, Lingling
Cao, Yunshan
Yan, Peng
author_facet Yang, Huanhuan
Song, Lingling
Cao, Yunshan
Yan, Peng
contents Developed half a century ago, Thiele's equation has played a crucial role in describing the motion of magnetic textures, ranging from simple magnetic domains to exotic magnetic solitons like skyrmions and hopfions. However, it remains a challenge to fully understand the collective dynamics of magnetic texture crystals, due to the complex many-body interactions. On the other hand, electrical circuits have recently been proved to be a powerful platform to realize rich physical phenomena in solids. In this Letter, we first construct a circuit unit to simulate Thiele's equation, which enables us to experimentally observe the "skyrmion Hall effect". By coupling a pair of such circuit units, we find an emerging frequency comb under strong pumpings, a long-sought nonlinear effect in interacting skyrmion systems. By extending our strategy to circuit arrays, we experimentally observe the topological edge state, thus confirming the theoretical prediction of topological solitonic insulators years ago. Our work builds a faithful connection between electric circuits and magnetic solitons, two seemingly unrelated areas, and opens the door for exploring collective magnetization dynamics in circuit networks.
format Preprint
id arxiv_https___arxiv_org_abs_2410_19598
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simulating Thiele's Equation and Collective Skyrmion Dynamics in Circuit Networks
Yang, Huanhuan
Song, Lingling
Cao, Yunshan
Yan, Peng
Mesoscale and Nanoscale Physics
Developed half a century ago, Thiele's equation has played a crucial role in describing the motion of magnetic textures, ranging from simple magnetic domains to exotic magnetic solitons like skyrmions and hopfions. However, it remains a challenge to fully understand the collective dynamics of magnetic texture crystals, due to the complex many-body interactions. On the other hand, electrical circuits have recently been proved to be a powerful platform to realize rich physical phenomena in solids. In this Letter, we first construct a circuit unit to simulate Thiele's equation, which enables us to experimentally observe the "skyrmion Hall effect". By coupling a pair of such circuit units, we find an emerging frequency comb under strong pumpings, a long-sought nonlinear effect in interacting skyrmion systems. By extending our strategy to circuit arrays, we experimentally observe the topological edge state, thus confirming the theoretical prediction of topological solitonic insulators years ago. Our work builds a faithful connection between electric circuits and magnetic solitons, two seemingly unrelated areas, and opens the door for exploring collective magnetization dynamics in circuit networks.
title Simulating Thiele's Equation and Collective Skyrmion Dynamics in Circuit Networks
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2410.19598